What is the vertex of angle 4 in this diagram?

The changing speed of a car is modeled by the function S(t) = −35t + 30, where t is time in seconds. Interpret the model

Flauer [41]

The car has an initial speed of 30 units and is slowing down by 35 units per second ⇒ answer C

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

m is the rat of change
b is the initial value

The changing speed of a car is modeled by the function s(t) = -35t + 30, where t is time in seconds.

We need to interpret the model

∵ The changing speed of a car is modeled by s(t) = -35t + 30

- Compare between the model and the form of the linear function

∴ m = -35 and b = 30

∴ The initial speed is 30 units

∴ The speed is changing by -35 units per second

- If the value of change of the speed is negative, means the

car is slowing down by this rate

∴ The car is slowing down by 35 units per second

The car has an initial speed of 30 units and is slowing down by 35 units per second

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

7 0

3 years ago

Consider the following 8 numbers, where one labelled x

zvonat [6]

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

we see that the visible 7 numbers have a range of 50-17 = 33.

that means that x has to make sure that the range really is 69.

so, we have indeed 2 choices : x can be the lowest value (with a difference of 69 to the highest value, 50), or x can be the highest value (with a difference of 69 to the lowest value, 17).

x as the lowest value :

x = 50 - 69 = -19

x as the highest value :

x = 17 + 69 = 86

5 0

2 years ago

Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (

erik [133]

Answer:

Part 1: 31.4 feet

Part 2: 61 feet

Part 3: 99,000 stalks of corn

Step-by-step explanation:

Part 1:

Diagram attached.

You can follow the problem closely and draw a diagram like this. The RED LINE is the distance we are looking to find.

The red line is the hypotenuse of a right triangle we can create (see the dotted line). We can now use the pythagorean theorem to solve for the distance.

Pythagorean Theorem is hypotenuse^2 = leg^2 + leg^2

Let red line [what we want to find] be h and the other 2 sides are 10-5=5 ft & 25 + 6 = 31ft. So we have:

$h^2 = 31^2 + 5^2\\h=\sqrt{31^2 + 5^2} \\h=31.4$

Hence Bethany has to walk 31.4 feet

Part 2:

See 2nd diagram attached.

The blue line is the path of Bethany and the green line is path of Ben. The RED line is what we are looking to find, the shortest distance between them.

We use Pythagorean Theorem twice on the two triangles and add up the results.

Left Triangle:

If we make a triangle, we have base (one leg) = 30 and the other leg is 20-10=10. So we have:

$h^2=30^2 + 10^2\\h=\sqrt{30^2 + 10^2} \\h=31.62$

RightSide triangle:

two legs are 25 and 15 respectively, so we use the pythagorean theorem again:

$h^2=25^2 + 15^2\\h=\sqrt{25^2 + 15^2} \\h=29.15$

Thus, the shortest distance = 31.62 + 29.15 = 60.77 = 61 feet (rounded to nearest whole number)

Part 3:

The area of the Maize MINUS the area of the path is the Area of the Corn [what we are looking for].

Area of Maze:

100 * 100 = 10,000 sq. yd.

Area of Path = 1.5 * 3000 = 4,500 sq. yd.

Area of Corn = 10,000 - 4,500 = 5,500 sq. yard of land.

Now, each sq. yd. holds 18 stalks, so 5,500 sq. yd. will hold:

18 * 5,500 = 99,000 stalks of corn

7 0

3 years ago

Help asap plzzzzzzzzzz

serg [7]

Based on what I know it’s B because the others have exponents and linear functions don’t have exponents

8 0

3 years ago

Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and t

spayn [35]

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280 | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280 | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280 | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280 | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289 | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5

1*a_1+(3)=289^0.5

1*a_1+3=289^0.5 | Ziehe die Wurzel aus 289

1*a_1+3=17 | -3

1*a_1=14

8 0

3 years ago